Echoes are done. Also 24 hour holter monitoring, to check for rhythm disturbances, which can be a precursor to DCM and sudden death. There's also a new blood test being touted as a predictor of future heart problems. although it's not widely used yet, and some cardiologists are on the fence about whether it's accurate or useful.
My almost 2 year old bitch will start regular cardiac testing within the next few months. I'll probably do that annually until she's 5 or so. my almost 6 year old male gets echoes done twice a year.
Thyroids should be checked annually after 18 months-2 years of age.
Really, the only definitive test that can be performed on a puppy is the dna test for vWD. Depending on the status of the parents, it might be a good idea to do that..if either parent is known to be vWD clear, then I wouldn't bother if the dog is never going to be used for breeding-a clear dog can never produce an affected puppy. If both parents are carriers, or one carrier and one affected, then I'd do the dna test-it's a good idea to know vWD status.
but that's something you do yourself, with a swab which you obtain from Vetgen, and send back to them for the results. www.vetgen.com . Don't waste your money on the ELISA blood test for vWD your vet performs-there's a high percentage of errors, and an overlap between categories, all of which makes it not reliable to diagnose vWD status.